More on the Patriots

Patriots spokesman Stacey James could not confirm Woicik's contract status.

Woicik, 54, was named the NFL's strength coach of the year in 1992 and 2004 by the Professional Football Strength and Conditioning Society.

Joe Juraszek has been the Cowboys' strength and conditioning coach since Woicik's departure, reuniting with Barry Switzer -- the two worked together at Oklahoma -- and continuing through the tenures of Chan Gailey, Dave Campo, Bill Parcells and Wade Phillips.

He missed most of the second half of the 2010 season with what was described as a "personal illness situation," according to the team. His assistant, Tony Ollison, took over the bulk of the work in Juraszek's absence.